Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

The study of magnetic topological semimetals by first principles calculations

J Zou, Z He, G Xu - npj Computational Materials, 2019 - nature.com
Magnetic topological semimetals (TSMs) are topological quantum materials with broken time-
reversal symmetry (TRS) and isolated nodal points or lines near the Fermi level. Their …

Spin space groups: Full classification and applications

Z **ao, J Zhao, Y Li, R Shindou, ZD Song - Physical Review X, 2024 - APS
In this work, we exhaust all the spin space symmetries, which fully characterize collinear,
noncollinear, and commensurate spiral as well as incommensurate spiral magnetism, etc …

Gapless Surface Dirac Cone in Antiferromagnetic Topological Insulator

YJ Hao, P Liu, Y Feng, XM Ma, EF Schwier, M Arita… - Physical Review X, 2019 - APS
The recently discovered antiferromagnetic topological insulators in the Mn-Bi-Te family with
intrinsic magnetic ordering have rapidly drawn broad interest since its cleaved surface state …

Möbius Insulator and Higher-Order Topology in

RX Zhang, F Wu, S Das Sarma - Physical review letters, 2020 - APS
We propose MnBi 2 n Te 3 n+ 1 as a magnetically tunable platform for realizing various
symmetry-protected higher-order topology. Its canted antiferromagnetic phase can host …

Building blocks of topological quantum chemistry: Elementary band representations

J Cano, B Bradlyn, Z Wang, L Elcoro, MG Vergniory… - Physical Review B, 2018 - APS
The link between chemical orbitals described by local degrees of freedom and band theory,
which is defined in momentum space, was proposed by Zak several decades ago for …

Structure and topology of band structures in the 1651 magnetic space groups

H Watanabe, HC Po, A Vishwanath - Science advances, 2018 - science.org
The properties of electrons in magnetically ordered crystals are of interest both from the
viewpoint of realizing novel topological phases, such as magnetic Weyl semimetals, and …

Higher-order topology and nodal topological superconductivity in Fe (Se, Te) heterostructures

RX Zhang, WS Cole, X Wu, S Das Sarma - Physical review letters, 2019 - APS
We show, theoretically, that a heterostructure of monolayer FeTe 1-x Se x—a
superconducting quantum spin Hall material—with a monolayer of FeTe—a bicollinear …

Topological correspondence between magnetic space group representations and subdimensions

A Bouhon, GF Lange, RJ Slager - Physical Review B, 2021 - APS
The past years have seen rapid progress in the classification of topological materials. These
diagnostical methods are increasingly getting explored in the pertinent context of magnetic …

Topological insulators from group cohomology

A Alexandradinata, Z Wang, BA Bernevig - Physical Review X, 2016 - APS
We classify insulators by generalized symmetries that combine space-time transformations
with quasimomentum translations. Our group-cohomological classification generalizes the …